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Finding the Fourth Proportional to 142, 195.72 and 127.48

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Solution

The fourth proportional to 142, 195.72 and 127.48 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 195.72 = 127.48 : x
  2. Step 2: Convert to fraction form
    142/195.72 = 127.48/x
  3. Step 3: Cross multiply
    142x = 195.72 × 127.48
  4. Step 4: Simplify right side
    142x = 24,950.39
  5. Step 5: Solve for x
    x = 24,950.39/142
  6. Step 6: Final answer
    x = 175.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.